A motor noise reduction structure for a dust collector, and the dust collector are provided. The noise reduction structure includes: a mounting portion, used for mounting a motor on a dust collector; and elastic components, used for applying tension to the motor. One end of each elastic component is connected to the mounting portion, and the other end of the elastic component is connected to the motor. The tension can counteract the gravity of the motor. The number of the elastic components is at least two. The elastic components are uniformly distributed at the circumference of the motor. An included angle of 10 to 85 degrees is formed between the direction of the tension and the horizontal plane. By means of the motor noise reduction structure for a dust collector and the dust collector, a good motor noise reduction effect can be obtained.
